Calculation of ORTHOGONAL RATIONAL FUNCTIONS, with respect to a given measure


Features

The m-file ORFcalcul.m evaluates rational functions, with given poles inside the unit disc, in given points, which are orthonormal with respect to a given measure.

The m-file comPhi.m evaluates orthonormal rational functions, with given poles inside the unit disc, in given points and given the reflection coefficients.

The m-file comPsi.m evaluates rational functions of the second kind, with given poles inside the unit disc, in given points and given the reflection coefficients.


References

  1. A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad - Orthogonal Rational Functions, Volume 5 of Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, 1999.
  2. P. Van gucht and A. Bultheel - Computing Orthogonal Rational Functions analytic outside the unit disc, TW-report 312, 2000, Dept. Computer Science, K.U. Leuven.
More software of our research group is available on http://nalag.cs.kuleuven.be/research/public-software.shtml

Contact

Patrick Van gucht or Adhemar Bultheel
K.U.Leuven, Dept. Computer Science K.U.Leuven, Dept. Computer Science
Celestijnenlaan 200A Celestijnenlaan 200A
B-3001 Leuven B-3001 Leuven
Tel: ++32 16 32 75 40
Fax: ++32 16 32 79 96
Adhemar.Bultheel ’a’ cs.kuleuven.be
Homepage Adhemar

Last update: September, 14, 2000.
File maintained by Patrick Van gucht.